Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2
1
2013
08
01
A FUZZY COMPARISON METHOD FOR PARTICULAR FUZZY
NUMBERS
1
14
EN
SAED
F. MALLAK
PALESTINE TECHNICAL UNIVERSITY -KADOORIE
DEPARTMENT OF APPLIED MATHEMATICS
s.mallak@ptuk.edu.ps,saedmallak@yahoo.com
DUHA
M. BEDO
PALESTINE TECHNICAL UNIVERSITY -KADOORIE
DEPARTMENT OF APPLIED MATHEMATICS
duha 1991 10@hotmail.com
10.22103/jmmrc.2013.525
In a previous work, we introduced particular fuzzy numbers anddiscussed some of their properties. In this paper we use the comparison methodintroduced by Dorohonceanu and Marin[5] to compare between these fuzzynumbers.
Fuzzy Numbers,Parabolic and Trapezoidal-Parabolic Fuzzy
Number,Comparison of Fuzzy Numbers
http://jmmrc.uk.ac.ir/article_525.html
http://jmmrc.uk.ac.ir/article_525_77f0bb8524f831376750f13b8ca1201e.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2
1
2013
08
01
APPLICATION OF HAAR WAVELETS IN SOLVING NONLINEAR
FRACTIONAL FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
15
28
EN
H.
SAEEDI
DEPARTMENT OF MATHEMATICS, SAHID BAHONAR UNIVERSITY OF KERMAN, IRAN,
76169-14111.
saeedi@uk.ac.ir, habibsaeedi@gmail.com
10.22103/jmmrc.2013.526
A novel and eective method based on Haar wavelets and Block Pulse Functions(BPFs) is proposed to solve nonlinear Fredholm integro-dierential equations of fractional order.The operational matrix of Haar wavelets via BPFs is derived and together with Haar waveletoperational matrix of fractional integration are used to transform the mentioned equation to asystem of algebraic equations. Our new method is based on this matrix and the vector forms forrepresentation of Haar wavelets. In addition, an error and convergence analysis of the Haar-approximation is discussed. Since this approach does not need any integration, all calculationswould be easily implemented, and it has several advantages in reducing the computational burden.Some examples are included to demonstrate the validity and applicability of the technique.
Fredholm integro-dierential equations,Haar wavelets,Operational matrix,Frac-
tional calculus,Block Pulse Functions
http://jmmrc.uk.ac.ir/article_526.html
http://jmmrc.uk.ac.ir/article_526_fcc341d1ada6a80939ba049209f50a54.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2
1
2013
08
01
ANALYSIS OF COVARIANCE BASED ON FUZZY TEST
STATISTIC
29
41
EN
ALIREZA
JIRYAEI,
DEPARTMENT OF STATISTICS, SHAHID BAHONAR UNIVERSITY OF
KERMAN, IRAN.
a.jiryae@gmail.com
ALIREZA
ARABPOUR
DEPARTMENT OF STATISTICS, SHAHID BAHONAR UNIVERSITY OF
KERMAN, IRAN.
arabpour@uk.ac.ir
MASHALLAH
MASHINCHI
DEPARTMENT OF STATISTICS, SHAHID BAHONAR UNIVERSITY OF
KERMAN, IRAN.
mashinchi@uk.ac.ir
10.22103/jmmrc.2013.565
One-way analysis of covariance is a popular and common statisticalmethod, wherein the equality of the means of several random variables whichhave a linear relationship with a random mathematical variable, is tested. Inthis study, a method is presented to improve the one-way analysis of covari-ance when there is an uncertainty in accepting the statistical hypotheses. Themethod deals with a fuzzy test statistic which is produced by a set of condenceintervals. Finally an example is provided for illustration.
Analysis of covariance,Condence interval,Fuzzy test statis-
tic
http://jmmrc.uk.ac.ir/article_565.html
http://jmmrc.uk.ac.ir/article_565_9b6106918b31e2304192517ca5e6d9d5.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2
1
2014
01
26
MODULE GENERALIZED DERIVATIONS ON TRIANGULAUR BANACH
ALGEBRAS
43
52
EN
MAYSAM
MOSADEQ
DEPARTMENT OF MATHEMATICS, BEHBAHAN BRANCH, ISLAMIC AZAD UNIVERSITY, BEHBAHAN, IRAN.
maysammosaddegh@yahoo.com
10.22103/jmmrc.2014.651
Let $A_1$, $A_2$ be unital Banach algebras and $X$ be an $A_1$-$A_2$- module. Applying the concept of module maps, (inner) modulegeneralized derivations and generalized first cohomology groups, wepresent several results concerning the relations between modulegeneralized derivations from $A_i$ into the dual space $A^*_i$ (for$i=1,2$) and such derivations from the triangular Banach algebraof the form $mathcal{T} :=left(begin{array}{lc} A_1 &X 0 & A_2end{array}right)$ into the associated triangular $mathcal{T}$- bimodule $mathcal{T}^*$ of theform $mathcal{T}^*:=left(begin{array}{lc} A_1^* &X^* 0 & A_2^*end{array}right)$. In particular, we show that the so-called generalized first cohomology group from $mathcal{T}$ to $mathcal{T}^*$ is isomorphic to the directed sum of the generalized first cohomology group from $A_1$ to $A^*_1$ and the generalized first cohomology group from $A_2$ to $A_2^*$
Generalized amenable Banach algebra,Generalized rst cohomology group,Module generalized derivation,Triangular Banach algebra
http://jmmrc.uk.ac.ir/article_651.html
http://jmmrc.uk.ac.ir/article_651_f8472fd9184204cb80234359c53e8bf4.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2
1
2014
07
27
ENTROPY OF DYNAMICAL SYSTEMS ON WEIGHTS OF A GRAPH
53
63
EN
A.
EBRAHIMZADEH
ISLAMIC AZAD UNIVERSITY
abolfazl35@yahoo.com
M.
EBRAHIMI
SHAHID
BAHONAR UNIVERSITY OF KERMAN,
10.22103/jmmrc.2014.668
Let $G$ be a finite simple graph whose vertices and edges are weighted by two functions. In this paper we shall define and calculate entropy of a dynamical system on weights of the graph $G$, by using the weights of vertices and edges of $G$. We examine the conditions under which entropy of the dynamical system is zero, possitive or $+infty$. At the end it is shown that, for $rin [0,+infty]$, there exists an order preserving transformation with entropy $r$.
Dynamical system,Entropy,Order preserving transformation,Weight
http://jmmrc.uk.ac.ir/article_668.html
http://jmmrc.uk.ac.ir/article_668_c8cc0ec3fc6ccd9671fdeffe88d2f7b2.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2
1
2014
07
27
MODIFICATION OF THE OPTIMAL HOMOTOPY ASYMPTOTIC METHOD FOR
LANE-EMDEN TYPE EQUATIONS
65
82
EN
BAHMAN
GHAZANFARI,
LORESTAN UNIVERSITY,
bahman ghazanfari@yahoo.com
NAHID
YARI
LORESTAN UNIVERSITY
nahidyari70@yahoo.com
10.22103/jmmrc.2014.669
In this paper, modication of the optimal homotopy asymptotic method (MOHAM) is appliedupon singular initial value Lane-Emden type equations and results are compared with the available exactsolutions. The modied algorithm give the exact solution for dierential equations by using one iterationonly.
Optimal homotopy asymptotic method,Lane-Emden equations,singular initial value problems
http://jmmrc.uk.ac.ir/article_669.html
http://jmmrc.uk.ac.ir/article_669_cd4af10cde20a92204bc02ff716450d8.pdf